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Question

In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3?

2 9 6 3 3 4 5 7 8 3 3 3 4 6 2 3 3 3 3 8 6 2 3

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
3

Analyzing the Numerals for Specific Digit Patterns

The question asks us to find the number of digit '3's in the given sequence that satisfy two conditions simultaneously:

  • The digit '3' must be immediately followed by another digit '3'.
  • The digit '3' must NOT be immediately preceded by a digit '3'.

The sequence of numerals is: $2 9 6 3 3 4 5 7 8 3 3 3 4 6 2 3 3 3 3 8 6 2 3$

Step-by-Step Identification

We will iterate through the sequence and check each '3' against the specified conditions.

  • $... 6 3 3 ...$: Here, the first '3' is followed by '3' (Condition 1 met). It is preceded by '6' (Condition 2 met). Count = 1.
  • $... 3 3 4 ...$: This '3' is preceded by '3' (Condition 2 NOT met). Ignore.
  • $... 8 3 3 ...$: Here, the '3' is followed by '3' (Condition 1 met). It is preceded by '8' (Condition 2 met). Count = 2.
  • $... 3 3 3 ...$: This '3' is preceded by '3' (Condition 2 NOT met). Ignore.
  • $... 3 3 3 ...$: This '3' is preceded by '3' (Condition 2 NOT met). Ignore.
  • $... 2 3 3 ...$: Here, the '3' is followed by '3' (Condition 1 met). It is preceded by '2' (Condition 2 met). Count = 3.
  • $... 3 3 3 ...$: This '3' is preceded by '3' (Condition 2 NOT met). Ignore.
  • $... 3 3 3 ...$: This '3' is preceded by '3' (Condition 2 NOT met). Ignore.
  • $... 3 3 8 ...$: This '3' is preceded by '3' (Condition 2 NOT met). Ignore.
  • $... 2 3$: This last '3' is not followed by another '3' (Condition 1 NOT met). Ignore.

Final Count

By applying the rules, we identified exactly 3 instances where a '3' is followed by a '3' but not preceded by a '3'.

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